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Finding the Fourth Proportional to 412,913.97, 619,296.91 and 113,355.11

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Solution

The fourth proportional to 412,913.97, 619,296.91 and 113,355.11 is: 170,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,913.97 : 619,296.91 = 113,355.11 : x
  2. Step 2: Convert to fraction form
    412,913.97/619,296.91 = 113,355.11/x
  3. Step 3: Cross multiply
    412,913.97x = 619,296.91 × 113,355.11
  4. Step 4: Simplify right side
    412,913.97x = 70,200,470,620.56
  5. Step 5: Solve for x
    x = 70,200,470,620.56/412,913.97
  6. Step 6: Final answer
    x = 170,012.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.